A right triangle has an area of 21 m2. The dimensions of the triangle are increased by a scale factor of 4. What is the area of the new triangle?

A. 42 m2
B. 84 m2
C. 168 m2
D. 336 m2
How would I solve this?

I have managed to figure it out, if anyone wants the answer, it is '336m^2'

Ok so,

The area of the triangle is 21 m^2 and the factor is 4.
ANSWER:
21 x 4^2 = 336 m^2

Thank you BruteForce you where helpful!!!!

The answer is 336m^2

the answer is 336m^2

How did you get this answer, ms.sue

To solve this problem, you need to know the relationship between the area and the scale factor of similar shapes. The relationship is that the area increases by the square of the scale factor.

1. Start by finding the area of the original triangle.
- The area is given as 21 m2.

2. Determine the scale factor by which the dimensions are increased.
- The scale factor is given as 4.

3. Calculate the square of the scale factor.
- 4 * 4 = 16

4. Multiply the original area by the square of the scale factor.
- 21 * 16 = 336 m2

Therefore, the area of the new triangle, with dimensions increased by a scale factor of 4, is 336 m2.

The correct answer is option D: 336 m2.

the area increases by the square of the scale factor

BECAUSE